[ 4 0] [-2 -3] What is the Adj of this matrix

The given matrix is:

$$A = \begin{bmatrix} 4 & 0 \\ -2 & -3 \end{bmatrix}$$

Here, $a=4$, $b=0$, $c=-2$, and $d=-3$.

For a $2 \times 2$ matrix $\begin{bmatrix} a & b \\ c & d \end{bmatrix}$, the adjoint matrix is given by:

$$\text{Adj}(A) = \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$$

$$\text{Adj}(A) = \begin{bmatrix} -3 & 0 \\ 2 & 4 \end{bmatrix}$$

The adjoint of the matrix is $\begin{bmatrix} -3 & 0 \\ 2 & 4 \end{bmatrix}$.